| As the hazards of vibration and noise are known, there is an active demand for damping and denoising. Using Viscoelastic materials is one of the important methods of vibration and noise control, and especially it is fit for the control of wider frequencies and multi-peak resonant vibration. Due to the wide use of viscoelastic materials in engineering to control the vibration and the appearance of new viseoelastic materials in recent years, the dynamic problems of viscoelastic complex structures become more and more important.This paper analyzes the vibration of some composite beams with viscoelastic damping ply. First, the fundamental characteristics, mathematical model, dissipation mechanics and the performance indices of viscoelastic materials are briefly introduced. The finite element dynamic equations of viscoelastic structures and elastic-viscoelastic structures in time domain are presented. It is also discussed how to handle the viscoelastic damping with the finite element methods. After that, the finite element method is used to evaluate the effect of damping on some composite beams with viscoelastic damping layers. Based on ABAQUS, the simple-supported I-section composite beam is firstly modeled and computed to evaluate the damping effect with consideration of different material thicknesses and different embedded depths. The variation of material modulous according to the frequency is taken into account. Then, the cross beam with I-section is modeled and calculated by considering different damping depths in order to analyze which depth can lead to a better vibration control effect. At last, the whole model including the cross beam and the supporting cylindrical shell is modeled and computed to evaluate vibration damping performance.According to the computation, aptly thickening the viscoelastic layers and changing the embedded depth of the layers can be a good way to control the vibration, which could give some reference on the application of viscoelastic damping.
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